Results 11 to 20 of about 2,275,501 (283)
Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials [PDF]
, 2002 In this paper, concepts of the generalized Bernoulli and Euler numbers and polynomials are introduced, and some relationships between them are ...
Qi, Feng, Luo, Qiu-Ming
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The prime number theorem for Beurling's generalized numbers [PDF]
Journal of Number Theory, 1969 AbstractLet P = {pj}j=1∞, where 1 < p1 ≤ p2 ≤ …, pj → ∞. Following Beurling [Acta Math, 1937], we call such a sequence a system of generalized (g−) primes. Let N denote the multiplicative semigroup generated by P. Set N(x) = NP(x) = {n ∈ N : n ≤ x}. Beurling proved that if NP satisfies the asymptotic relation (1) NP(x) = Ax + O(x log−γ x) with some ...
Diamond, Harold G.
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A Type of Mean Values of Several Positive Numbers with Two Parameters [PDF]
, 2006 In this article, a type of mean values of several positive numbers with two parameters are defined by using the generalized Vandermonde determinant, some basic properties of them are given, and several inequalities for some mean values including the ...
Zhang, Zhi-Hua +2 more
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Prime numbers in logarithmic intervals [PDF]
, 2010 Let $X$ be a large parameter. We will first give a new estimate for the integral moments of primes in short intervals of the type $(p,p+h]$, where $p\leq X$ is a prime number and $h=\odi{X}$.
A. Languasco +9 more
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ON A NEW CLASS OF SMARANDACHE PRIME NUMBERS [PDF]
, 2005 The purpose of this note is to report on the discovery of some new prime numbers that were built from factorials, the Smarandache Consecutive Sequence, and the Smarandache Reverse ...
Earls, Jason
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The Cyclic Decomposition of cf(Q2q×C10)/ R ̅ (Q29×C10)
Journal of Kufa for Mathematics and Computer, 2022 In this paper, we propose the cyclic decomposition of the factor group cf(Q2q×C10)‚Z)/R ̅(Q2q×C10 ), and the group cf(Q2q×C10‚Z) is Z-valued class functions of the direct product group ((Q14×C10)) under the operation of addition, and R((Q14×C10)) is the
Naseer Albakaa +2 more
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p-adic singular integrals and their commutators in generalized Morrey spaces
Journal of Inequalities and Applications, 2019 For a prime number p, let Qp $\mathbb{Q}_{p}$ be the field of p-adic numbers. In this paper, we establish the boundedness of a class of p-adic singular integral operators on the p-adic generalized Morrey spaces.
Hui X. Mo +3 more
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Frontiers in Marine Science, 2021 Adaptation is a biological mechanism by which organisms adjust physically or behaviorally to changes in their environment to become more suited to it. This is a report of free-ranging bottlenose dolphins’ behavioral adaptations to environmental changes ...
Ann Weaver
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Generalized Bernoulli numbers and 𝑚-regular primes [PDF]
Mathematics of Computation, 1984 A prime p is defined to be m -regular if p does not divide the class number of a certain abelian number field. Several different characterizations are given for a prime to be m
Hao, Fred H., Parry, Charles J.
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Binomial expansions modulo prime powers
International Journal of Mathematics and Mathematical Sciences, 1980 In this note a result is given and proved concerning binomial expansions modulo prime powers. In the proof congruence modulo prime powers is generalized to the rational numbers via valuations.
Paul W. Haggard, John O. Kiltinen
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